ake a Payrment .. Problem 3. (a) Compute [e" (sin r+ cos r)]'. I (b) Consider the closed interval [0, 7]. On what interval(s) is the function f(x) = e" cos x positive? negative? Hint: Recall that e is...

subparts d. and e. please

Extracted text: ake a Payrment .. Problem 3. (a) Compute [e" (sin r+ cos r)]'. I (b) Consider the closed interval [0, 7]. On what interval(s) is the function f(x) = e" cos x positive? negative? Hint: Recall that e is always positive ... %3D (c) Calculate e cos x dr. Using only your answer and explaining your reasoning, de- termine whethere there is more area (i) above [0, T/2 and below the curve y = e" cos x, or (ii) above the curve y = e cos r and below [T/2, 7]. (d) Calculate the area that lies above the curve y = e" cos x and below [T/2, 7]. (e) Without directly evaluating [ e* cos x dx, but using parts (c) and (d) of this problem and explaining your reasoning: calculate the area that lies above [0, 7/2] and below y = et cos r dx. 21 1 I